1798
1798 is the year Edward Jenner published his work on smallpox vaccination.
- Even
- Composite
Where 1798 fits
Why 1798 is special
He tested the idea by deliberately infecting a child with cowpox and then exposing him to smallpox, which no ethics framework would now permit. The method worked and led to the only eradication of a human disease.
Same number, different meanings
How 1798 is understood across different contexts — never implying one meaning because of another.
- Mathematics
He tested the idea by deliberately infecting a child with cowpox and then exposing him to smallpox, which no ethics framework would now permit. The method worked and led to the only eradication of a human disease.
- History
In 1798, Malthus published his Essay on the Principle of Population, and Cavendish measured the density of the Earth (England).
- Science
Jenner's 1798 publication described deliberately infecting an eight-year-old with cowpox and then exposing him to smallpox. The reasoning was sound, the result was correct, and the experiment would be prohibited outright today — all three are true simultaneously.
1798 is part of
Factors & digit properties
- Divisors (8)
- 1, 2, 29, 31, 58, 62, 899, 1798
- Prime factorisation
- 2 × 29 × 31
- Digit sum
- 25
- Digital root
- 7
Representations
- Decimal
- 1798
- Scientific notation
- 1.798 × 10^3
Roman numerals
M D C C X C V I I I
MDCCXCVIII uses the subtractive pair XC: ten before a hundred — a hundred minus ten.
Binary
1 1 1 0 0 0 0 0 1 1 0
1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 1,798
Octal
3 4 0 6
3 × 512 + 4 × 64 + 0 × 8 + 6 × 1 = 1,798
Hexadecimal
7 0 6
7 × 256 + 0 × 16 + 6 × 1 = 1,798
Read as powers of two: 1,024 + 512 + 256 + 4 + 2 = 1,798.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 9 hobbles, 8 strokes
1 × 1,000 + 7 × 100 + 9 × 10 + 8 × 1 = 1,798. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 9 vertical wedges (sixties place), 5 corner wedges + 8 vertical wedges (units place)
29 × 60 + 58 = 1798. Places are separated by a space on the tablet, with the higher place written first.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Deficient number
Related numbers & connections
1798 is a year in the 18th century, in the 1790s.
The Rosetta Stone was found in 1799 during the French expedition to Egypt, a year after Jenner published his vaccination work in England.
View 1799 →History
In 1798, Malthus published his Essay on the Principle of Population, and Cavendish measured the density of the Earth (England).
DocumentedHistoryGeography: EnglandPeriod: 1798
Science
Jenner's 1798 publication described deliberately infecting an eight-year-old with cowpox and then exposing him to smallpox. The reasoning was sound, the result was correct, and the experiment would be prohibited outright today — all three are true simultaneously.
DocumentedScienceGeography: EnglandPeriod: 1798
Common questions
Is 1798 a prime number?
No, 1798 is not prime.
What are the factors of 1798?
The factors of 1798 are 1, 2, 29, 31, 58, 62, 899, 1798.
What is 1798 in Roman numerals?
1798 in Roman numerals is MDCCXCVIII. XC is subtractive: ten before a hundred — a hundred minus ten. Written additively it would be MDCCLXXXXVIII, which Roman inscriptions used freely — the strict subtractive form is a later convention.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026